5217604609536 has 640 divisors, whose sum is σ = 17864820864000. Its totient is φ = 1485984890880.

The previous prime is 5217604609493. The next prime is 5217604609573. The reversal of 5217604609536 is 6359064067125.

5217604609536 is a `hidden beast` number, since 5 + 2 + 1 + 7 + 60 + 46 + 0 + 9 + 536 = 666.

It is a super-2 number, since 2×5217604609536² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3368368890 + ... + 3368370438.

It is an arithmetic number, because the mean of its divisors is an integer number (27913782600).

Almost surely, 2^{5217604609536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5217604609536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8932410432000).

5217604609536 is an abundant number, since it is smaller than the sum of its proper divisors (12647216254464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5217604609536 is a wasteful number, since it uses less digits than its factorization.

5217604609536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 5217604609536 in words is "five trillion, two hundred seventeen billion, six hundred four million, six hundred nine thousand, five hundred thirty-six".